Details

analyze861.0ms

Algorithm: search

sample34.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
2.0ms	44×	body	80	invalid
2.0ms	33×	body	80	nan

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.2b	(* z (log t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

5.0ms	(* (- a 0.5) b)
10.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series60.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
37.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify105.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	557	780
1	2647	719
2	5002	707

prune389.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (+ x y) (- z (* z (log t))))
0.2b	(* z (log t))
0.3b	(- z (* z (log t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-log-exp`
12×	`add-cube-cbrt` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `sum-log` `associate--r+`
4×	`flip3--` `frac-add` `flip--`
3×	`flip3-+` `diff-log` `flip-+` `distribute-lft-out`
2×	`sub-neg` `associate-+r+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* (- a 0.5) b)
7.0ms	(+ (+ x y) (- z (* z (log t))))
4.0ms	(* z (log t))
3.0ms	(- z (* z (log t)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
11.0ms	(+ (+ x y) (- z (* z (log t))))
7.0ms	(* z (log t))
8.0ms	(- z (* z (log t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	537	597
1	2240	554
2	5003	529

prune115.0ms

Filtered

66 candidates to 101 candidates (-53.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b (- a 0.5)) (* z (log t)))
0.0b	(* b (- a 0.5))
0.1b	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
0.2b	(* z (log t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
23×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
12×	`distribute-rgt-in` `add-cube-cbrt` `log-prod` `distribute-lft-in` `sum-log`
9×	`pow1` `associate-r`
8×	`add-exp-log` `sub-neg` `associate--l+` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `distribute-lft-out` `associate--r+`
4×	`flip3--` `diff-log` `frac-add` `flip--`
3×	`flip3-+` `flip-+`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `associate-+l+` `log-pow` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 104

Calls

4 calls:

8.0ms	(- (* b (- a 0.5)) (* z (log t)))
6.0ms	(* b (- a 0.5))
13.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
4.0ms	(* z (log t))

series58.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (* b (- a 0.5)) (* z (log t)))
5.0ms	(* b (- a 0.5))
34.0ms	(+ (+ (+ x y) z) (- (* b (- a 0.5)) (* z (log t))))
7.0ms	(* z (log t))

simplify76.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	586	869
1	2879	819
2	5001	804

prune122.0ms

Filtered

74 candidates to 116 candidates (-56.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Merged error: 0.0b

Counts

122 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.2b	(* (log (sqrt t)) z)
0.2b	(* z (log (sqrt t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

7.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
11.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
17.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
11.0ms	(* (log (sqrt t)) z)
9.0ms	(* z (log (sqrt t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	435	919
1	2083	813
2	5001	784

prune100.0ms

Filtered

75 candidates to 112 candidates (-49.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	111	7	118

Merged error: 0b

Counts

118 → 7

regimes1.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

analyze903.0ms

Algorithm: search

sample943.0ms

Algorithm

intervals

Results

462.0ms	7998×	body	80	valid
75.0ms	1227×	body	80	invalid
64.0ms	1148×	body	80	nan
1.0ms	2×	body	1280	valid

Details

analyze861.0ms

sample34.0ms

simplify48.0ms

prune5.0ms

localize13.0ms

rewrite32.0ms

series60.0ms

simplify105.0ms

prune389.0ms

localize14.0ms

rewrite25.0ms

series31.0ms

simplify63.0ms

prune115.0ms

localize14.0ms

rewrite34.0ms

series58.0ms

simplify76.0ms

prune122.0ms

localize16.0ms

rewrite30.0ms

series50.0ms

simplify55.0ms

prune100.0ms

regimes1.0s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze903.0ms

sample943.0ms

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